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Finding the Third Proportional to 19,408 and 46,216

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Solution

The third proportional to 19,408 and 46,216 is: 110,053.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,408 : 46,216 = 46,216 : x
  2. Step 2: Convert to fraction form
    19,408/46,216 = 46,216/x
  3. Step 3: Cross multiply
    19,408x = 46,216 × 46,216
  4. Step 4: Simplify right side
    19,408x = 2,135,918,656
  5. Step 5: Solve for x
    x = 2,135,918,656/19,408
  6. Step 6: Final answer
    x = 110,053.52

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.